ℓ2 Bounded Variation and Absolutely Continuous Spectrum of Jacobi Matrices
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-3015-6
Abstract: We disprove a conjecture of Breuer–Last–Simon (Breuer et al. in Constr Approx 32(2):221–254, 2010) concerning the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an ℓ2 bounded variation condition with step q. We prove… read more here.
Keywords: bounded variation; spectrum jacobi; spectrum; absolutely continuous ... See more keywords
Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives
Sign Up to like & getrecommendations! Published in 2018 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-018-0736-7
Abstract: For discretisations of hyperbolic conservation laws, mimicking properties of operators or solutions at the continuous (differential equation) level discretely has resulted in several successful methods. While well-posedness for nonlinear systems in several space dimensions is… read more here.
Keywords: chain rules; bounded variation; mimetic properties; second derivatives ... See more keywords
Nemytskii operator on $$(\phi ,2,\alpha )$$-bounded variation space in the sense of Riesz
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pseudo-differential Operators and Applications"
DOI: 10.1007/s11868-020-00366-8
Abstract: In this paper we show that if the Nemytskii operator maps the $$(\phi ,2,\alpha )$$ -bounded variation space into itself and satisfies some Lipschitz condition, then there are two functions g and h belonging to… read more here.
Keywords: bounded variation; variation space; alpha bounded; phi alpha ... See more keywords
Global bounded variation solutions describing Fanno–Rayleigh fluid flows in nozzles
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DOI: 10.1142/s0218202518500306
Abstract: In this paper, we investigate the initial-boundary value problem of compressible Euler equations including friction and heating that model the transonic Fanno–Rayleigh flows through symmetric variable area nozzles. In particular, the case of contracting nozzles… read more here.
Keywords: bounded variation; variation solutions; fanno rayleigh; global bounded ... See more keywords
Integral Representation of Functions of Bounded Variation
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DOI: 10.1155/2019/1065946
Abstract: Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually entered into the theory… read more here.
Keywords: bounded variation; variation; functions bounded; absolute continuous ... See more keywords
Iterative blow-ups for maps with bounded 𝒜-variation: A refinement, with application to BD and BV
Sign Up to like & getrecommendations! Published in 2025 at "Advances in Calculus of Variations"
DOI: 10.1515/acv-2024-0072
Abstract: Abstract We refine the iterated blow-up techniques. This technique, combined with a rigidity result and a specific choice of the kernel projection in the Poincaré inequality, might be employed to completely linearize blow-ups along at… read more here.
Keywords: blow ups; maps bounded; blow; iterative blow ... See more keywords
On generalized bounded variation functions on Vilenkin groups and applications
Sign Up to like & getrecommendations! Published in 2025 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2025-2063
Abstract: Abstract In the present paper, we introduce certain classes of functions of weighted bounded oscillation on bounded Vilenkin groups. For such classes, we employ the summability methods of the theory of double Vilenkin–Fourier series. read more here.
Keywords: groups applications; variation functions; vilenkin groups; generalized bounded ... See more keywords
Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation
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DOI: 10.3390/sym13060990
Abstract: In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided. read more here.
Keywords: bounded variation; functional functions; complex eby; functions bounded ... See more keywords